Horse pregnancies. Bigger animals tend to carry their young longer before birth. The length of horse pregnancies from conception to birth varies according to a roughly normal distribution with a mean of 336 days and a standard deviation of 6 days. Sketch a graph of the distribution of lengths of horse pregnancies. Label the mean and the points that are 1, 2, and 3 standard deviations from the mean. Upload the picture belowUse the 68-95-99.7 rule to estimate the percentage of horse pregnancies that are no longer than 342 days.

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Horse pregnancies. Bigger animals tend to carry their young longer before birth. The length of horse pregnancies from conception to birth varies according to a roughly normal distribution with a mean of 336 days and a standard deviation of 6 days.

Sketch a graph of the distribution of lengths of horse pregnancies. Label the mean and the points that are 1, 2, and 3 standard deviations from the mean.

Upload the picture below

Use the 68-95-99.7 rule to estimate the percentage of horse pregnancies that are no longer than 342 days.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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Step 1

68-95-99.7 rule :

According to 68-95-99.7 rule ,

1) 68% of data falls within the first standard deviation from the mean
In mathematical notation, this is represented as: μ ± 1σ

2) 95% fall within two standard deviations
In mathematical notation, this is represented as: μ ± 2σ

3) 99.7% fall within three standard deviations.
In mathematical notation, this is represented as: μ ± 3σ

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